The enthalpy of combustion (ΔcH∘) is calculated using the standard molar enthalpies of formation (ΔfH∘) of the products and reactants . First, we write the balanced thermochemical equation for the complete combustion of ethene (C2H4):
C2H4(g)+3O2(g)→2CO2(g)+2H2O(l) .
According to thermodynamics, the reaction enthalpy is the sum of the enthalpies of the products minus the sum of the enthalpies of the reactants:
ΔrH∘=[2×ΔfH∘(CO2,g)+2×ΔfH∘(H2O,l)]−[ΔfH∘(C2H4,g)+3×ΔfH∘(O2,g)] .
By convention, the standard enthalpy of formation for an element in its reference state, such as O2(g), is taken as zero .
Substituting the values provided in the problem:
ΔcH∘=[2(−394 kJ mol−1)+2(−286 kJ mol−1)]−[52 kJ mol−1+3(0)]
ΔcH∘=[−788−572]−52
ΔcH∘=−1360−52=−1412 kJ mol−1.
The negative sign confirms that combustion is an exothermic process . This result matches Option B.